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Mesoscopic characterization of magnetoelastic hybrid materials: magnetic gels and elastomers, their particle-scale description, and scale-bridging links

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Abstract

Magnetic hybrid materials in the form of magnetic gels and elastomers, that is, magnetic or magnetizable colloidal particles embedded in an elastic polymer matrix, are fascinating substances. By addressing and adjusting the magnetic interactions between the particles through external magnetic fields, their overall material properties can be tuned reversibly while in operation. A central goal is to understand how these features can be optimized and which structural properties of the materials determine their overall behavior and its tunability. Mesoscopic theories and modeling are necessary for these purposes, resolving the arrangement of the embedded particles and linking it to the macroscopic scale of the overall material behavior. Here, we overview such recent developments of mesoscopic approaches. Particularly, we address coarse-grained but efficient dipole-spring models, explicit analytical calculations using linear elasticity theory, numerical approaches that allow to characterize nonlinear effects, or density functional theory. In this way, various properties and types of behavior of these materials are revealed, for instance, their reversible tunability of static and dynamic mechanical moduli by magnetic fields, elastic interactions between the embedded particles mediated through the polymeric matrix, or a pronounced and reversibly tunable nonlinear stress–strain behavior. Links from the mesoscopic to the micro- and macroscopic level are outlined. We mention combined efforts of theoretical descriptions, modeling, numerical simulations, and experimental investigations. It becomes evident from our treatment that an integrated approach of theory, simulations, and experiments will significantly increase our further understanding of these materials in the future and will draw possible applications into sight.

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Fig. 1

Reproduced from Ref. [34]. © IOP Publishing. Reproduced with permission. All rights reserved. (Color figure online)

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Reproduced from Ref. [83]. © IOP Publishing. Reproduced with permission. All rights reserved. (Color figure online)

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Reproduced from Ref. [81], with the permission of AIP Publishing. (Color figure online)

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Reproduced from Ref. [80], with the permission of AIP Publishing. (Color figure online)

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Reproduced from Ref. [81], with the permission of AIP Publishing. (Color figure online)

Fig. 8

Reproduced from Ref. [82]. © IOP Publishing. Reproduced with permission. All rights reserved. (Color figure online)

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Reproduced from Ref. [80], with the permission of AIP Publishing. (Color figure online)

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Fig. 12

Reprinted figure with permission from [89]. Copyright 2016 by the American Physical Society. (Color figure online)

Fig. 13

Reproduced from Ref. [67], with permission from the Royal Society of Chemistry. (Color figure online)

Fig. 14

Reproduced from Ref. [21], with the permission of AIP Publishing. (Color figure online)

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Reproduced from Ref. [21], with the permission of AIP Publishing. (Color figure online)

Fig. 16

Reproduced from Ref. [22], with permission from the PCCP Owner Societies. (Color figure online)

Fig. 17

Reproduced from Ref. [22], with permission from the PCCP Owner Societies. (Color figure online)

Fig. 18

Reproduced from Ref. [20]. © IOP Publishing. Reproduced with permission. All rights reserved. (Color figure online)

Fig. 19

Reproduced from Ref. [20]. © IOP Publishing. Reproduced with permission. All rights reserved. (Color figure online)

Fig. 20

Reproduced from Ref. [63], with the permission of AIP Publishing. (Color figure online)

Fig. 21

Reproduced from Ref. [63], with the permission of AIP Publishing. (Color figure online)

Fig. 22

Reproduced from Ref. [92], with the permission of AIP Publishing. (Color figure online)

Fig. 23

Reproduced with permission from Ref. [6]. (Color figure online)

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Acknowledgements

The author thanks several colleagues for fruitful collaborations that led to the different studies and effects overviewed above, namely, Hartmut Löwen, Peet Cremer, Giorgio Pessot, Mate Puljiz, Elshad Allahyarov, Sonja Babel, Mitsusuke Tarama, Rudolf Weeber, Christian Holm, Karl Kalina, Markus Kästner, Michael Orlishausen, Werner Köhler, Shilin Huang, Günter K. Auernhammer, Malte Schümann, Thomas Gundermann, Dmitry Borin, and Stefan Odenbach. The present work was supported through the Deutsche Forschungsgemeinschaft (DFG) via the SPP 1681, Grant No. ME 3571/3.

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  1. Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstr. 1, 40225, Düsseldorf, Germany

    Andreas M. Menzel

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Menzel, A.M. Mesoscopic characterization of magnetoelastic hybrid materials: magnetic gels and elastomers, their particle-scale description, and scale-bridging links. Arch Appl Mech 89, 17–45 (2019). https://doi.org/10.1007/s00419-018-1413-7

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